JEE Mains · Physics · STD 12 - 12. atoms
The angular momentum of an electron in a hydrogen atom is proportional to _______. (Where \(\mathrm{r}\) is the radius of orbit of electron)
- A \(\sqrt{\mathrm{r}}\)
- B \(\frac{1}{\mathrm{r}}\)
- C \(r\)
- D \(\frac{1}{\sqrt{\mathrm{r}}}\)
Answer & Solution
Correct Answer
(A) \(\sqrt{\mathrm{r}}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{F}_{\mathrm{C}}=\frac{\mathrm{mv}^2}{\mathrm{r}}\) \(\frac{\mathrm{Kq}_1 \mathrm{q}_2}{\mathrm{r}^2}=\frac{\mathrm{mv}^2}{\mathrm{r}}\) \(\mathrm{mv}^2 \mathrm{r}^2=\mathrm{K}_{\mathrm{q}_1 \mathrm{q}_2 \mathrm{r}}\)…
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